49268837520 has 480 divisors, whose sum is σ = 199487232000. Its totient is φ = 11143028736.

The previous prime is 49268837491. The next prime is 49268837531. The reversal of 49268837520 is 2573886294.

49268837520 is a `hidden beast` number, since 4 + 9 + 2 + 6 + 88 + 37 + 520 = 666.

It is a super-3 number, since 3×49268837520³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10264081 + ... + 10268879.

It is an arithmetic number, because the mean of its divisors is an integer number (415598400).

Almost surely, 2^49268837520 is an apocalyptic number.

49268837520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49268837520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99743616000).

49268837520 is an abundant number, since it is smaller than the sum of its proper divisors (150218394480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49268837520 is a wasteful number, since it uses less digits than its factorization.

49268837520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 49268837520 in words is "forty-nine billion, two hundred sixty-eight million, eight hundred thirty-seven thousand, five hundred twenty".